Least Common Multiple of 1026 and 1034

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1026 and 1034 the smallest integer that is 530442 that is divisible by both numbers.

Least Common Multiple (LCM) of 1026 and 1034 is 530442.

LCM(1026,1034) = 530442

LCM of 1026 and 1034

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1026 and 1034

LCM of 1026 and 1034 is 530442

Least common multiple can be found by multiplying the highest exponent prime factors of 1026 and 1034. First we will calculate the prime factors of 1026 and 1034.

Prime Factorization of 1026


2 1026
3 513
3 171
3 57
19 19
1

Prime factors of 1026 are 2, 3,19. Prime factorization of 1026 in exponential form is:

1026 = 21×33×191

Prime Factorization of 1034


2 1034
11 517
47 47
1

Prime factors of 1034 are 2, 11,47. Prime factorization of 1034 in exponential form is:

1034 = 21×111×471

Now multiplying the highest exponent prime factors to calculate the LCM of 1026 and 1034.

LCM(1026,1034) = 21×33×111×191×471
LCM(1026,1034) = 530442

Factors of 1026

List of positive integer factors of 1026 that divides 1026 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 114, 171, 342, 513, 1026

Factors of 1034

List of positive integer factors of 1034 that divides 1034 without a remainder.

1, 2, 11, 22, 47, 94, 517, 1034

Least Common Multiple of 1026 and 1034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1026 and 1034, than apply into the LCM equation.

GCF(1026,1034) = 2
LCM(1026,1034) = ( 1026 × 1034) / 2
LCM(1026,1034) = 1060884 / 2
LCM(1026,1034) = 530442

Properties of LCM 1026 and 1034

(i) The LCM of 1034 and 1026 is associative

LCM of 1026 and 1034 = LCM of 1034 and 1026

Related Least Common Multiples of 1026

Related Least Common Multiples of 1034

Frequently Asked Questions on LCM of 1026 and 1034

1. What is the LCM of 1026 and 1034?

Answer: LCM of 1026 and 1034 is 530442.

2. What are the Factors of 1026?

Answer: Factors of 1026 are 1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 114, 171, 342, 513, 1026. There are 16 integers that are factors of 1026. The greatest factor of 1026 is 1026.

3. What are the Factors of 1034?

Answer: Factors of 1034 are 1, 2, 11, 22, 47, 94, 517, 1034. There are 8 integers that are factors of 1034. The greatest factor of 1034 is 1034.

4. How to Find the LCM of 1026 and 1034?

Answer:

Least Common Multiple of 1026 and 1034 = 530442

Step 1: Find the prime factorization of 1026

1026 = 2 x 3 x 3 x 3 x 19

Step 2: Find the prime factorization of 1034

1034 = 2 x 11 x 47

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 530442 = 2 x 3 x 3 x 3 x 11 x 19 x 47

Step 4: Therefore, the least common multiple of 1026 and 1034 is 530442.